If \( \frac{\mathrm{1} }{\mathrm{3} } \) of an office staff is on vacation and \( \frac{\mathrm{1} }{\mathrm{4} } \) of those not on vacation are out sick, what fraction of the staff is in the office?

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If \( \frac{\mathrm{1} }{\mathrm{3} } \) of an office staff is on vacation and \( \frac{\mathrm{1} }{\mathrm{4} } \) of those not on vacation are out sick, what fraction of the staff is in the office?